use the graph of the integrand and areas to evaluate the integral: upper limit 1, lower limit -1, f(x)=(2-lxl). can you explain how to evaluate this intergral?

Question

mathteacher1729 · Answer

I guess step 1 is drawing a graph ?

anonymous · Answer

I have the graph on calculator, but I am not sure how to determine area without using individual rectangles

mathteacher1729 · Answer

You should be able to do this using triangles.

slaaibak · Answer

Use the fact that it's symmetric.  Only evaluate from 1 to 0, and multiply by 2

anonymous · Answer

thanks let me go work with it and see if i can get the answer that the book has

anonymous · Answer

f(x)=2-(-x )=2+x, when -1<x<0
similarly f(x)=2-x , when 0<=x<1
so integrate these two and add them , you will get the ans

anonymous · Answer

ans is 3

anonymous · Answer

I got it but i ended up having too just divide it into two intervals and solve the area of these two intervals

anonymous · Answer

yes you got it